|A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure. The new figure is called the image. Another name for the original figure is preimage.|
A transformation can be shown using an arrow.
DABC ® DPQR
Three main types of transformations:
Translations, reflections and rotations are three types of congruence transformations. A congruence transformation changes the position of the figure without changing its shape and size.
- Translation moves every point of a figure the same distance in the same direction.
- Reflection uses a line of reflection to create a mirror image of the original figure.
- Rotation turns a figure about a fixed point, called the center of rotation . Rays drawn from the center of rotation to a point and its image form the angle of rotation.
Another name for congruence transformation is isometry. An isometry is a transformation that preserves length and angle measure.
- A dilation is a transformation that stretches or shrinks a figure to create a similar figure.
- It is a type of similarity transformation.
- In a dilation, a figure is enlarged or reduced with respect to a fixed point called the center of dilation.
- The scale factor of the dilation is the ratio of a side length of the image to the corresponding side length of the original figure.
Directions: Choose the correct answer. Also draw 5 examples for each type of transformation: reflection, translation, rotation and dilation.